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The probability that an experiment has a successful outcome is 0.90. The experiment is to be repeated until seven successful outcomes have occurred. What is the expected number of repetitions requir
Six cruise missiles have been built by an aerospace company. The probability of a successful firing is, on any one test, 0.9. Assuming independent firings, what is the probability that the first fai
An experiment consists of seven independent Bernoulli trials with probability of success q in each trial. The random variable X is the number of successes. Enumerate the probability distribution of
The lead time for the product is fixed at 5 days. Find the expected value and the variance of lead time demand, assuming demands to be independently distributed.
A boiler has 3 identical relief valves. The probability that any particular valve will open on demand is 0.76. Assume independent operation of valves.
Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,475. Ninety-nine percent of all students at private universities pay less than what
The results of a recent study regarding smoking and three types of illness are shown in the following table.
An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight and some were overweight, but most of them had satisfactory weight.
In the casino game roulette, the probability that you win with a bet on the red is 9/19. Let Y be the number of winning bets out of 100 that a gambler places. Find the approximate probability that t
SAS does not have a beta distribution (as of SAS 9.3). Let's use a gamma distribution to generate a beta distribution for SAS. Suppose U is a Gamma(1,a) and V is a Gamma(1,b) random variable,
In the previous test, the airline sets an allowable Type I error of beta= 0.01. If the true mean weight is mu1 = 190 pounds, what is the estimated sample size needed to obtain?
A safety engineer suspects that the average weight of airline passengers has increased from the regulated standard 180 pounds in the last decade. Based on published statistics, he knows that the sta
Then plot a histogram chart using Proc Gplot or Proc Gchart (make use of the code on my slides and read the handout on charting). To simplify your coding, you need to use a macro for the simulation
A survey conducted fo the northwestern national life insurance company revealed that 70% of american workers say job stress caused frequent health problems.
The waiting time for a certain download to start is exponentially distributed with ? = 1.5 seconds. Let X be the time until the download begins, then X ? Exp(1.5).
What is the probability of guessing a person security code on the first try. What is the probability of not guessing a person security code on the first try.
Find the 95% confidence interval to estimate the true mean textbook cost for the semester based on this sample. Upper limit? Lower limit?
If 20% of all the seams need reworking, what is the probability that a rivet is defective? How small should the probability of a defective rivet be to ensure that only 10% of all the seams need rework
In 2005, 74% of all airline flights were on-time. If we choose a simple random sample of 2000 flights, find the probability that (be as accurate as the proper process allows) (a) at least 77% of the
A researcher is studying a group of 20 senior citizens in two groups of 10, from 55 to 74 to see if they become depressed over time as they age and health declines, Can some one do a test for me tha
How high can a major league player's strikeout rate go? The accepted strikeout rate in the majors is roughly 25 percent. Consider a random variable that is the number of strikeouts in 10 plate appea
Let the random variable X of the discrete type have the pdf given by the table
The break-even hay yield for your farm is 2200 kg/ha. A lower yield leads to economic losses. The yield in your area is known to be normally distributed with µ= 2500 kg/ha, ? = 300 kg/ha. Dra